Consider the following data for two variables, x and y. x; 4 5 7 8 10 12 12 22 Y; 12 14 16 16 18 20 24 20 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) x, y, Standardized Residuals 4 12 5 7 16 00 8 10 14 12 16 18 20 12 24 22 20 Do the data include any outliers? Explain. O There is at least one standardized residual that are less than -2 or greater than +2, so there is a possible outliers. O There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers.

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(b) Compute the leverage values for these data. (Round your answers to two decimal places.)
X; Y; Leverage Values
4
5
7
8
12
14
16
16
10 18.
12 20
12 24
22 20
Do there appear to be any influential observations in these data? Explain.
6
Minitab identifies an observation as having high leverage if h,> 6; for these data,
=
Since the leverage for the observation at (x, y):
(c) Develop a scatter diagram for these data. Does the scatter diagram indicate any influential observations? Explain.
O The scatter diagram indicates that there are no influential observations because no points have a large influence on the estimated regression line.
O The scatter diagram indicates that there is one influential observation because one point has a large influence on the estimated regression line.
O The scatter diagram indicates that there are two influential observations because two points have a large influence on the estimated regression line.
O The scatter diagram indicates that there are more than two influential observations because more than two points have a large influence on the estimated regression line.
6
is greater than we conclude that this observation is an influential observation.
n
Transcribed Image Text:(b) Compute the leverage values for these data. (Round your answers to two decimal places.) X; Y; Leverage Values 4 5 7 8 12 14 16 16 10 18. 12 20 12 24 22 20 Do there appear to be any influential observations in these data? Explain. 6 Minitab identifies an observation as having high leverage if h,> 6; for these data, = Since the leverage for the observation at (x, y): (c) Develop a scatter diagram for these data. Does the scatter diagram indicate any influential observations? Explain. O The scatter diagram indicates that there are no influential observations because no points have a large influence on the estimated regression line. O The scatter diagram indicates that there is one influential observation because one point has a large influence on the estimated regression line. O The scatter diagram indicates that there are two influential observations because two points have a large influence on the estimated regression line. O The scatter diagram indicates that there are more than two influential observations because more than two points have a large influence on the estimated regression line. 6 is greater than we conclude that this observation is an influential observation. n
A statistical program is recommended.
Consider the following data for two variables, x and y.
4 12
5
Y; 12 14
8
00
(a) Compute the standardized residuals for these data. (Round your answers to two decimal places.)
X; Y; Standardized Residuals
7 16
14
16
10 18
12 20
4 5 7
12 24
22 20
8
10 12 12 22
16 16 18 20 24 20
Do the data include any outliers? Explain.
There is at least one standardized residual that are less than -2 or greater than +2, so there is a possible outliers.
There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers.
Transcribed Image Text:A statistical program is recommended. Consider the following data for two variables, x and y. 4 12 5 Y; 12 14 8 00 (a) Compute the standardized residuals for these data. (Round your answers to two decimal places.) X; Y; Standardized Residuals 7 16 14 16 10 18 12 20 4 5 7 12 24 22 20 8 10 12 12 22 16 16 18 20 24 20 Do the data include any outliers? Explain. There is at least one standardized residual that are less than -2 or greater than +2, so there is a possible outliers. There are no standardized residuals that are less than -2 or greater than +2, so there are no possible outliers.
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